## EXAMPLE 3 Looking at Limits of Partial Sums For each of the following series

MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

## EXAMPLE 3 Looking at Limits of Partial Sums For each of the following series, find the first five terms in the sequence of partial sums. Which of the series appear to converge? (a) 0.1+0.01+0.001+0.0001+⋯0.1+0.01+0.001+0.0001+\cdots (b) 10+20+30+40+⋯10+20+30+40+\cdots (c) 1−1+1−1+⋯1-1+1-1+\cdots

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